13801564 has 48 divisors (see below), whose sum is σ = 29836800. Its totient is φ = 5455296.

The previous prime is 13801561. The next prime is 13801573. The reversal of 13801564 is 46510831.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13801561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18307 + ... + 19045.

It is an arithmetic number, because the mean of its divisors is an integer number (621600).

Almost surely, 2^13801564 is an apocalyptic number.

13801564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13801564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918400).

13801564 is an abundant number, since it is smaller than the sum of its proper divisors (16035236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13801564 is a wasteful number, since it uses less digits than its factorization.

13801564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13801564 is about 3715.0456255610. The cubic root of 13801564 is about 239.8700917324.

It can be divided in two parts, 13801 and 564, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13801564 in words is "thirteen million, eight hundred one thousand, five hundred sixty-four".